Search a number
-
+
125374340 = 22572132757
BaseRepresentation
bin1110111100100…
…00111110000100
322201220200021002
413132100332010
5224043434330
620235112432
73051443600
oct736207604
9281820232
10125374340
1164852663
1235ba2718
131cc89200
1412918500
15b017e45
hex7790f84

125374340 has 108 divisors (see below), whose sum is σ = 332081316. Its totient is φ = 39626496.

The previous prime is 125374339. The next prime is 125374367. The reversal of 125374340 is 43473521.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 19201924 + 106172416 = 4382^2 + 10304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165242 + ... + 165998.

It is an arithmetic number, because the mean of its divisors is an integer number (3074827).

Almost surely, 2125374340 is an apocalyptic number.

125374340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125374340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166040658).

125374340 is an abundant number, since it is smaller than the sum of its proper divisors (206706976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125374340 is a wasteful number, since it uses less digits than its factorization.

125374340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 125374340 is about 11197.0683663180. The cubic root of 125374340 is about 500.4986225857.

The spelling of 125374340 in words is "one hundred twenty-five million, three hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 169 182 196 245 260 338 364 455 490 637 676 757 845 910 980 1183 1274 1514 1690 1820 2366 2548 3028 3185 3380 3785 4732 5299 5915 6370 7570 8281 9841 10598 11830 12740 15140 16562 19682 21196 23660 26495 33124 37093 39364 41405 49205 52990 68887 74186 82810 98410 105980 127933 137774 148372 165620 185465 196820 255866 275548 344435 370930 482209 511732 639665 688870 741860 895531 964418 1279330 1377740 1791062 1928836 2411045 2558660 3582124 4477655 4822090 6268717 8955310 9644180 12537434 17910620 25074868 31343585 62687170 125374340